Nearly every star system that the vessels entered either turned them away or destroyed them, through fear of spreading the Tarellian plague. By the early 2360s, there was only one of these ships known to still exist.

In 2364, the USS Enterprise-D encountered the last surviving vessel, and its sparse crew. On board the Enterprise-D at the time, Wyatt Miller joined the last of the Tarellian crew, hoping that he would, some day, find a cure for their plague. (TNG: "Haven")

For more information on this design and history of this model, please see: Studio models.